Home
Class 12
MATHS
If f(x) is continuous in [-2,2], where ...

If f(x) is continuous in [-2,2], where
`f(x) = {(x+a,",",x lt 0),(x,",",0 le x lt 1),(b-x,",",x ge 1):}`, then

A

a = 0, b = 2

B

a = 1, b = 2

C

a = 0, b = -2

D

a = -1, b = 2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    TARGET PUBLICATION|Exercise Critical Thinking|80 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Competitive Thinking|63 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

Similar Questions

Explore conceptually related problems

If f(x) is continuous in [-2, 2], where f(x)={:{(x+a", for " x lt 0),(x", for " 0 le x lt 1),(b-x", for " x ge 1):} , then a+b=

If f(x) ={(|x|,",",x lt 0),(x,",",0 le x le 1),(1,",",x gt 1):} , then f(x) is discontinuous at

If f(x) is continuous in [-2,2], where f(x) = {((sinax)/(x)-2,",","for" -2 le x lt 0),(2x+1,",","for"0 le x le 1),(2bsqrt(x^(2)+3)-1,",","for" 1 lt x le 2):} , then the value of (a+b) is

If f(x) is continuous in [0, 3], where f(x)={:{(3x-4", for " 0 le x le 2),(2x+k", for " 2 lt x le 3):} , then k=

If f(x) is continuous in [-2, 2], where f(x)={:{ ((sin ax)/(x)-1", for "-2 le x lt 0),(2x+1", for " 0 le x le 1),(2bsqrt(x^(2)+3)-1", for " 1 lt x le 2):} , then a+b=

f(x){{:(2x "," if x lt 0 ),(0"," if 0 le x le 1),(4x "," if x gt 1 ):}

If f(x) is continuous on [-2, 2], where f(x)={:{((sin ax)/(x)+2", for " -2 le x lt 0),(3x+5", for " 0 le x le 1),(sqrt(x^(2)+8)-b", for " 1 lt x lt 2):} , then a+b=

If f(x) ={(4-3x,",",0 lt x le 2),(2x-6,",",2 lt x le 3),(x+5,",",3 lt x le 6):} , then f(x) is

If f(x) is continuous on [0, 8] , where f(x)={:{(x^(2)+ax+6", for " 0 le x lt 2),(3x+2", for " 2 le x le 4),(2ax+5b", for " 4 lt x le 8):} , then

If f(x) is continuous at x=1 , where f(x)={:{(k+x", for " x lt 1),(4x+3", for " x ge 1):} , then k=